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arXiv · 1801.03442

On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds

Piotr T. Chruściel·Gregory J. Galloway·Luc Nguyen·Tim-Torben Paetz
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Abstract

We prove positivity of energy for a class of asymptotically locally hyperbolic manifolds in dimensions $4\le n \le 7$. The result is established by first proving deformation-of-mass-aspect theorems in dimensions $n\ge 4$. Our positivity results extend to the case $n = 3$ when more stringent conditions are imposed.

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Piotr T. Chruściel, Gregory J. Galloway, Luc Nguyen, Tim-Torben Paetz. 2018-01-10. On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds. https://doi.org/10.1088/1361-6382%2Faabed1

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